138616464 has 80 divisors (see below), whose sum is σ = 410525312. Its totient is φ = 39481344.

The previous prime is 138616459. The next prime is 138616483. The reversal of 138616464 is 464616831.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205632 + ... + 206304.

Almost surely, 2^138616464 is an apocalyptic number.

138616464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138616464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205262656).

138616464 is an abundant number, since it is smaller than the sum of its proper divisors (271908848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138616464 is a wasteful number, since it uses less digits than its factorization.

138616464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1298 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 138616464 is about 11773.5493373918. The cubic root of 138616464 is about 517.5332677159.

The spelling of 138616464 in words is "one hundred thirty-eight million, six hundred sixteen thousand, four hundred sixty-four".